AP Physics · Practice Sheet 46

1. 1.

   Physics

   Calculate the potential energy of a 15 kg object at a height of 16 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

   View formula →
2. 2.

   Physics

   An object starts at 2 m/s and accelerates at 3 m/s² for 10 s. Find its final velocity.

   Formula:Equation of Motion (v = u + at)

   $v = u + at$

   View formula →
3. 3.

   Mathematics

   Find the sum of the first 7 terms of a GP with first term 6 and common ratio 2.

   Formula:GP Sum of n Terms

   $S_n = a\,\dfrac{r^{n}-1}{r-1}$

   View formula →
4. 4.

   Mathematics

   Find the slope of the line through (-7, 0) and (5, -7).

   Formula:Slope of a Line

   $m = \dfrac{y_2-y_1}{x_2-x_1}$

   View formula →
5. 5.

   Physics

   Find the density of an object with mass 431 g and volume 27 cm³.

   Formula:Density

   $\rho = \dfrac{m}{V}$

   View formula →
6. 6.

   Physics

   A force of 263 N acts on an area of 48 m². Find the pressure.

   Formula:Pressure

   $P = \dfrac{F}{A}$

   View formula →
7. 7.

   Mathematics

   Find term number 4 of a geometric progression with first term 1 and common ratio 3.

   Formula:GP nth Term

   $a_n = a\,r^{\,n-1}$

   View formula →
8. 8.

   Mathematics

   Find the distance between the points (2, -4) and (-8, 3).

   Formula:Distance Between Two Points

   $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$

   View formula →
9. 9.

   Mathematics

   In an arithmetic progression with first term 4 and common difference 2, find term number 28.

   Formula:AP nth Term

   $a_n = a + (n-1)d$

   View formula →
10. 10.

    Mathematics

    For the quadratic 2x² − 5x − 6 = 0, find the sum and product of its roots.

    Formula:Vieta's Formulas (roots)

    $\alpha+\beta=-\dfrac{b}{a},\;\alpha\beta=\dfrac{c}{a}$

    View formula →
11. 11.

    Mathematics

    Find the distance between the points (-1, 0) and (0, 2).

    Formula:Distance Between Two Points

    $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$

    View formula →
12. 12.

    Mathematics

    For the quadratic 3x² + 4x − 3 = 0, find the sum and product of its roots.

    Formula:Vieta's Formulas (roots)

    $\alpha+\beta=-\dfrac{b}{a},\;\alpha\beta=\dfrac{c}{a}$

    View formula →
13. 13.

    Mathematics

    Evaluate log base 3 of 243.

    Formula:Logarithm Evaluation

    $\log_{b}(b^{k}) = k$

    View formula →
14. 14.

    Physics

    A force of 613 N acts on an area of 3 m². Find the pressure.

    Formula:Pressure

    $P = \dfrac{F}{A}$

    View formula →
15. 15.

    Mathematics

    Evaluate log base 10 of 100,000.

    Formula:Logarithm Evaluation

    $\log_{b}(b^{k}) = k$

    View formula →
16. 16.

    Mathematics

    Find the binomial coefficient C(5, 2) — the coefficient of x^2 in (1 + x)^5.

    Formula:Binomial Coefficient

    $\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}$

    View formula →
17. 17.

    Mathematics

    In an arithmetic progression with first term 16 and common difference 7, find term number 23.

    Formula:AP nth Term

    $a_n = a + (n-1)d$

    View formula →
18. 18.

    Physics

    Find the force required to accelerate a 23 kg mass at 15 m/s².

    Formula:Newton's Second Law (F = ma)

    $F = ma$

    View formula →
19. 19.

    Mathematics

    Find the sum of the first 6 terms of a GP with first term 2 and common ratio 2.

    Formula:GP Sum of n Terms

    $S_n = a\,\dfrac{r^{n}-1}{r-1}$

    View formula →
20. 20.

    Physics

    A body moving at 10 m/s accelerates at 1 m/s² for 2 s. Find the distance travelled.

    Formula:Equation of Motion (s = ut + ½at²)

    $s = ut + \tfrac{1}{2}at^{2}$

    View formula →

© FormulaWon — formulawon.app · Answers & step-by-step working available on the solutions sheet.